Topology optimization of bistable elastic structures — An application to logic gates

Mathias Wallin, Anna Dalklint, Daniel Tortorelli

Research output: Contribution to journalArticlepeer-review


In this paper, bistable gates which can be used as building blocks in logic gates are designed using topology optimization. The gate simulation is based on finite strain kinematics and hyperelastic material response. The objective of the optimization is to maximize the stiffness of a gate in the stable configurations while ensuring an adequate energy and distance separations between them and constraining the peak stress and total mass. The optimization problem is solved using nonlinear programming and the adjoint method is used to efficiently calculate the sensitivities. Conventional techniques such as SIMP interpolation, PDE filtering and Heaviside thresholding are included in the formulation. The numerical examples suggest a number of possible gate designs.

Original languageEnglish (US)
Article number113912
JournalComputer Methods in Applied Mechanics and Engineering
StatePublished - Sep 1 2021


  • Bistability
  • Logic gate
  • Non-linear elasticity
  • Topology optimization

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


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